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3041400420 = 2233521126693
BaseRepresentation
bin1011010101001000…
…0001011001100100
321211221221011001000
42311102001121210
522212044303140
61221443433300
7135240322422
oct26522013144
97757834030
103041400420
111320878173
1270a685830
1339614b626
1420bd02112
1512c020a30
hexb5481664

3041400420 has 96 divisors (see below), whose sum is σ = 9507335040. Its totient is φ = 807166080.

The previous prime is 3041400413. The next prime is 3041400431. The reversal of 3041400420 is 240041403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3041400393 and 3041400402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100594 + ... + 127286.

It is an arithmetic number, because the mean of its divisors is an integer number (99034740).

Almost surely, 23041400420 is an apocalyptic number.

3041400420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753667520).

3041400420 is an abundant number, since it is smaller than the sum of its proper divisors (6465934620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3041400420 is a wasteful number, since it uses less digits than its factorization.

3041400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26922 (or 26914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3041400420 is about 55148.8931892563. The cubic root of 3041400420 is about 1448.8536988631.

Adding to 3041400420 its reverse (240041403), we get a palindrome (3281441823).

It can be divided in two parts, 30 and 41400420, that added together give a triangular number (41400450 = T9099).

The spelling of 3041400420 in words is "three billion, forty-one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 211 270 422 540 633 844 1055 1266 1899 2110 2532 3165 3798 4220 5697 6330 7596 9495 11394 12660 18990 22788 26693 28485 37980 53386 56970 80079 106772 113940 133465 160158 240237 266930 320316 400395 480474 533860 720711 800790 960948 1201185 1441422 1601580 2402370 2882844 3603555 4804740 5632223 7207110 11264446 14414220 16896669 22528892 28161115 33793338 50690007 56322230 67586676 84483345 101380014 112644460 152070021 168966690 202760028 253450035 304140042 337933380 506900070 608280084 760350105 1013800140 1520700210 3041400420